Coverart for item
The Resource Topological Optimization and Optimal Transport : In the Applied Sciences, Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Filippo Santambrogio, Guillaume Carlier, Thierry Champion

Topological Optimization and Optimal Transport : In the Applied Sciences, Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Filippo Santambrogio, Guillaume Carlier, Thierry Champion

Label
Topological Optimization and Optimal Transport : In the Applied Sciences
Title
Topological Optimization and Optimal Transport
Title remainder
In the Applied Sciences
Statement of responsibility
Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Filippo Santambrogio, Guillaume Carlier, Thierry Champion
Contributor
Subject
Language
eng
Summary
By discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored. Furthermore, applications in science and engineering, including economics, social sciences, biology, physics and image processing are covered. ContentsPart I Geometric issues in PDE problems related to the infinity Laplace operator Solution of free boundary problems in the presence of geometric uncertainties Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies High-order topological expansions for Helmholtz problems in 2D On a new phase field model for the approximation of interfacial energies of multiphase systems Optimization of eigenvalues and eigenmodes by using the adjoint method Discrete varifolds and surface approximation Part II Weak Monge-Ampere solutions of the semi-discrete optimal transportation problem Optimal transportation theory with repulsive costs Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations On the Lagrangian branched transport model and the equivalence with its Eulerian formulation On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows Pressureless Euler equations with maximal density constraint: a time-splitting scheme Convergence of a fully discrete variational scheme for a thin-film equatio Interpretation of finite volume discretization schemes for the Fokker-Planck equation as gradient flows for the discrete Wasserstein distance
Member of
Cataloging source
DEGRU
Dewey number
519.6
Index
index present
Language note
In English
LC call number
QA402.6
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Bergounioux, Maïtine
  • Carlier, Guillaume
  • Champion, Thierry
  • Oudet, Édouard
  • Rumpf, Martin
  • Santambrogio, Filippo
Series statement
Radon Series on Computational and Applied Mathematics
Series volume
17
http://library.link/vocab/subjectName
  • Transportation problems (Programming)
  • Transportation problems (Programming)
  • Gestaltoptimierung
  • Topologieoptimierung
  • Transportproblem
  • Geometrische Analysis
  • Mehrskalenanalyse
  • Numerisches Verfahren
Label
Topological Optimization and Optimal Transport : In the Applied Sciences, Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Filippo Santambrogio, Guillaume Carlier, Thierry Champion
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 6. Optimization of eigenvalues and eigenmodes by using the adjoint method
  • 7. Discrete varifolds and surface approximation
  • Part II
  • Preface
  • 8. Weak Monge-Ampère solutions of the semi-discrete optimal transportation problem
  • 9. Optimal transportation theory with repulsive costs
  • 10. Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations
  • 11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation
  • 12. On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows
  • 13. Pressureless Euler equations with maximal density constraint: a time-splitting scheme
  • Frontmatter
  • 14. Convergence of a fully discrete variational scheme for a thin-film equation
  • 15. Interpretation of finite volume discretization schemes for the Fokker-Planck equation as gradient flows for the discrete Wasserstein distance
  • Index
  • Contents
  • Part I
  • 1. Geometric issues in PDE problems related to the infinity Laplace operator
  • 2. Solution of free boundary problems in the presence of geometric uncertainties
  • 3. Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies
  • 4. High-order topological expansions for Helmholtz problems in 2D
  • 5. On a new phase field model for the approximation of interfacial energies of multiphase systems
Control code
1002222178
Extent
1 online resource (432 pages)
Form of item
online
Isbn
9783110430509
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1515/9783110430417
  • 9783110430417
  • urn:nbn:de:101:1-201708094845
  • 9783110430509
  • urn:nbn:de:101:1-201708234760
Specific material designation
remote
System control number
(OCoLC)1002222178
Label
Topological Optimization and Optimal Transport : In the Applied Sciences, Maïtine Bergounioux, Édouard Oudet, Martin Rumpf, Filippo Santambrogio, Guillaume Carlier, Thierry Champion
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 6. Optimization of eigenvalues and eigenmodes by using the adjoint method
  • 7. Discrete varifolds and surface approximation
  • Part II
  • Preface
  • 8. Weak Monge-Ampère solutions of the semi-discrete optimal transportation problem
  • 9. Optimal transportation theory with repulsive costs
  • 10. Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations
  • 11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation
  • 12. On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows
  • 13. Pressureless Euler equations with maximal density constraint: a time-splitting scheme
  • Frontmatter
  • 14. Convergence of a fully discrete variational scheme for a thin-film equation
  • 15. Interpretation of finite volume discretization schemes for the Fokker-Planck equation as gradient flows for the discrete Wasserstein distance
  • Index
  • Contents
  • Part I
  • 1. Geometric issues in PDE problems related to the infinity Laplace operator
  • 2. Solution of free boundary problems in the presence of geometric uncertainties
  • 3. Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies
  • 4. High-order topological expansions for Helmholtz problems in 2D
  • 5. On a new phase field model for the approximation of interfacial energies of multiphase systems
Control code
1002222178
Extent
1 online resource (432 pages)
Form of item
online
Isbn
9783110430509
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1515/9783110430417
  • 9783110430417
  • urn:nbn:de:101:1-201708094845
  • 9783110430509
  • urn:nbn:de:101:1-201708234760
Specific material designation
remote
System control number
(OCoLC)1002222178

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